Are the attenuator/pots loose from their main mounts, or are the actual internal pieces dirty or loose? You can pull the pots out by pulling the knobs off and use a pair of needle-nose pliers or a deep socket (preferred) to tighten up the shaft retaining nuts, or take those same nuts off to remove them all together to clean or replace them. If that doesn't do the trick, you may have to
very carefully heat the thin aluminum foilcal/badge that reads "4311x Control Room Monitor" with a blowdryer, while
gently lifting it off the enclosure with a 1" "full elastic" blade putty knife. That will expose the retaining screws that you see coming in through the front and from behind the aforementioned foilcal/badge. Go to
www.audioheritage.org for the replacement numbers, or contact member Zilch about the proper replacement attenuator pots. To replace the foilcal/badge, spread a small amount of contact cement as per directions, and reattach them after you R&R the pots. Sometimes you can just re-heat them with the blowdryer and press them back down. Either way it takes a great amount of patience and care to prevent damage to them.
BTW, you have what I consider to be the best of all the 4311 models. Your 4311's have the wonderful LE5-2 Alnico mid. Nice find, I hope you get them up to spec.